scholarly journals Percival variational principle for invariant measures and commensurate-incommensurate phase transitions in one-dimensional chains

1984 ◽  
Vol 94 (4) ◽  
pp. 511-522 ◽  
Author(s):  
V. F. Lazutkin ◽  
D. Ya. Terman
Keyword(s):  
Phase Transitions ◽  
Variational Principle ◽  
Invariant Measures ◽  
Incommensurate Phase ◽  
One Dimensional

scholarly journals Quantum phase transitions in a quasi-one-dimensional Ising quantum magnet in transverse fields

2021 ◽  
Vol 103 (14) ◽  
Author(s):  
Xiaowen Zhang ◽  
Zheng He ◽  
Yiqing Hao ◽  
Yao Shen ◽  
Shoudong Shen ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
One Dimensional ◽  
Quantum Magnet ◽  
Transverse Fields

scholarly journals Band structure, phase transitions, and semiconductor analogs in one-dimensional solid light systems

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
James Quach ◽  
Melissa I. Makin ◽  
Chun-Hsu Su ◽  
Andrew D. Greentree ◽  
Lloyd C. L. Hollenberg
Keyword(s):  
Phase Transitions ◽  
Band Structure ◽  
One Dimensional ◽  
Structure Phase

scholarly journals On the semi-inverse method and variational principle

2013 ◽  
Vol 17 (5) ◽  
pp. 1565-1568 ◽  
Author(s):  
Xue-Wei Li ◽  
Ya Li ◽  
Ji-Huan He
Keyword(s):  
Heat Conduction ◽  
Variational Principle ◽  
Inverse Method ◽  
Generalized Variational Principle ◽  
Open Forum ◽  
One Dimensional ◽  
History Of

In this Open Forum, Liu et al. proved the equivalence between He-Lee 2009 variational principle and that by Tao and Chen (Tao, Z. L., Chen, G. H., Thermal Science, 17(2013), pp. 951-952) for one dimensional heat conduction. We confirm the correction of Liu et al.?s proof, and give a short remark on the history of the semi-inverse method for establishment of a generalized variational principle.

Monte Carlo Modelling of Phase Transitions in Quasi-One-Dimensional Multiferoic

2016 ◽  
Vol 845 ◽  
pp. 158-161
Author(s):  
S.J. Lamekhov ◽  
Dmitry A. Kuzmin ◽  
Igor V. Bychkov ◽  
I.A. Maltsev ◽  
V.G. Shavrov
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Method ◽  
External Magnetic Field ◽  
Periodic Potential ◽  
One Dimensional ◽  
Field Modelling ◽  
Energy Components

Behavior of quasi-one-dimensional multiferoic Ca3CoMnO6 in external magnetic field was investigated. Modelling by Monte Carlo method was performed to show influence of external magnetic field on appearance of polarization and temperature of phase transition in electric subsystem. Magnetization, polarization and energy components for magnetic and electric subsystems dependencies were achieved for different values of external magnetic field. Modelling showed that periodic potential in form of Frenkel-Kontorova makes influence on maximal values and temperature of phase transitions for magnetization and polarization.

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